cs.NE · 2026-07-14 · No. 53

Neural and Evolutionary Computing, 2026-07-14.

1 new papers in cs.NE. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Backpropagation as a Nilpotent Linear System

    Ahmed Boughammoura

    cs.NE · cs.LG

    Backpropagation is the computational engine of deep learning, yet its mathematical structure is typically treated as a procedural traversal of computational graphs. We present a global operator theory of the \emph{F-adjoint} framework, which reformulates the layerwise backward recursion of an $L$-depth feedforward network into a single linear system $(I-\cB)\Xs=\bG$, where $\bG$ is a source vector. We prove that the global backward operator...

    arxiv.org/abs/2607.11289 · PDF

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